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13121022031049 is a prime number
BaseRepresentation
bin1011111011101111100111…
…0110110111010011001001
31201110100122120210200210202
42332323321312313103021
53204433323114443144
643523414142421545
72522651105033222
oct276737166672311
951410576720722
1013121022031049
1141a9659965979
12157ab378918b5
137423cb82468a
143350bcdb2249
1517b49422164e
hexbeef9db74c9

13121022031049 has 2 divisors, whose sum is σ = 13121022031050. Its totient is φ = 13121022031048.

The previous prime is 13121022031021. The next prime is 13121022031087. The reversal of 13121022031049 is 94013022012131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7533268302400 + 5587753728649 = 2744680^2 + 2363843^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13121022031049 is a prime.

It is a super-2 number, since 2×131210220310492 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13121022031009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560511015524 + 6560511015525.

It is an arithmetic number, because the mean of its divisors is an integer number (6560511015525).

Almost surely, 213121022031049 is an apocalyptic number.

It is an amenable number.

13121022031049 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121022031049 is an equidigital number, since it uses as much as digits as its factorization.

13121022031049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 13121022031049 in words is "thirteen trillion, one hundred twenty-one billion, twenty-two million, thirty-one thousand, forty-nine".